Turkish Journal of Analysis and Number Theory
ISSN (Print): 2333-1100 ISSN (Online): 2333-1232 Website: http://www.sciepub.com/journal/tjant
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Turkish Journal of Analysis and Number Theory. 2015, 3(3), 87-89
DOI: 10.12691/tjant-3-3-4
Open AccessArticle

Schur-geometric and Schur-harmonic Convexity of an Integral Mean for Convex Functions

Jian Sun1, Zhi-Ling Sun1, Bo-Yan Xi1 and Feng Qi2, 3,

1College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China

2Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin City, China

3Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, China

Pub. Date: September 28, 2015

Cite this paper:
Jian Sun, Zhi-Ling Sun, Bo-Yan Xi and Feng Qi. Schur-geometric and Schur-harmonic Convexity of an Integral Mean for Convex Functions. Turkish Journal of Analysis and Number Theory. 2015; 3(3):87-89. doi: 10.12691/tjant-3-3-4

Abstract

In the paper, Schur-geometric and Schur-harmonic convexity of an integral mean for convex functions are established.

Keywords:
Schur-convex function Schur-geometrically convex function Schur-harmonically convex function inequality generalized logarithmic mean

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